Yes, but sizing and balancing that may cost more than it is worth. For starters, assuming your existing air handler is 10 SEER, it would have to be replaced to match a new 13 SEER condenser. A much better idea would be a through the wall heat pump unit, even a hotel size PTAC unit; or one of the new mini-split systems. fujitsu, mitsubushi, and LG all make very good units.

Heat pumps are appropriate in climates where the winter season temps seldom go below 35 or so. The knock on heat pumps is that the air handler blows luke warm air, so it does not have the same warm cuddly feeling as radiators, or fuel-heated forced air. But the price is right!